Quantum State Discrimination with Overcompleteness
Name
Lockton-cmedlock-ScD-EECS-2021-thesis.pdf
Description
Thesis PDF
Size
2.85 MB
Format
Adobe PDF
Checksum (MD5)
e0e4e6f5e64f0118f90696b53d130290
Author(s)
Medlock, Catherine Aiko
Advisor(s)
Oppenheim, Alan V.
Date Issued
September 2021
Publisher
Massachusetts Institute of Technology
Abstract
The central topics of this thesis are operating characteristics for binary hypothesis testing in classical and quantum settings and overcomplete quantum measurements for quantum binary state discrimination. With this we explore decision and measurement operating characteristics defined as the tradeoff between probability of detection and probability of false alarm as parameters are varied. The thesis specifically addresses the Neyman-Pearson optimality of receiver operating characteristics when they are generated using threshold tests on the score variable rather than threshold tests on the likelihood ratio. The analysis applies to any scalar score variable. In the quantum setting, informationally overcomplete POVMs are explored to provide more robust quantum binary state discrimination schemes. We focus on equal trace rank one or Etro POVMs, which can be specified by arrangements of points on a sphere that we refer to as an Etro sphere.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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